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Finding the Fourth Proportional to 494,992.89, 742,370.31 and 228,497.40

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Solution

The fourth proportional to 494,992.89, 742,370.31 and 228,497.40 is: 342,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,992.89 : 742,370.31 = 228,497.40 : x
  2. Step 2: Convert to fraction form
    494,992.89/742,370.31 = 228,497.40/x
  3. Step 3: Cross multiply
    494,992.89x = 742,370.31 × 228,497.40
  4. Step 4: Simplify right side
    494,992.89x = 169,629,685,672.19
  5. Step 5: Solve for x
    x = 169,629,685,672.19/494,992.89
  6. Step 6: Final answer
    x = 342,691.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.